Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis

doi:10.1007/s10483-021-2714-6

Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (4): 583-592.doi: https://doi.org/10.1007/s10483-021-2714-6

Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis

S. NADEEM¹, S. AKHTAR¹, A. SALEEM²

1. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;
2. Department of Anatomy, School of Dentistry, Shaheed Zulfiqar Ali Bhutto Medical University, Islamabad 44000, Pakistan

收稿日期:2020-10-21 修回日期:2020-12-22 出版日期:2021-04-01 发布日期:2021-03-23
通讯作者: S. NADEEM E-mail:sohail@qau.edu.pk

Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis

S. NADEEM¹, S. AKHTAR¹, A. SALEEM²

1. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;
2. Department of Anatomy, School of Dentistry, Shaheed Zulfiqar Ali Bhutto Medical University, Islamabad 44000, Pakistan

Received:2020-10-21 Revised:2020-12-22 Online:2021-04-01 Published:2021-03-23
Contact: S. NADEEM E-mail:sohail@qau.edu.pk

摘要/Abstract

摘要： The peristaltic flow of a heated Jeffrey fluid inside a duct with an elliptic cross-section is studied. A thorough heat transfer mechanism is interpreted by analyzing the viscous effects in the energy equation. The governing mathematical equations give dimensionless partial differential equations after simplification. The final simplified form of the mathematical equations is evaluated with respect to the relevant boundary conditions, and the exact solution is attained. The results are further illustrated by graphs, and the distinct aspects of peristaltic flow phenomena are discussed.

关键词: peristalsis, elliptic duct, Jeffrey fluid, streamline

Abstract: The peristaltic flow of a heated Jeffrey fluid inside a duct with an elliptic cross-section is studied. A thorough heat transfer mechanism is interpreted by analyzing the viscous effects in the energy equation. The governing mathematical equations give dimensionless partial differential equations after simplification. The final simplified form of the mathematical equations is evaluated with respect to the relevant boundary conditions, and the exact solution is attained. The results are further illustrated by graphs, and the distinct aspects of peristaltic flow phenomena are discussed.

Key words: peristalsis, elliptic duct, Jeffrey fluid, streamline

中图分类号:

S. NADEEM, S. AKHTAR, A. SALEEM. Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(4): 583-592.

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Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis

Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis

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